On Quaternions and Octonions

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  • On Quaternions and Octonions Book Detail

  • Author : John H. Conway
  • Release Date : 2003-01-23
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 172
  • ISBN 13 : 1439864187
  • File Size : 12,12 MB

On Quaternions and Octonions by John H. Conway PDF Summary

Book Description: This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special properties of 3- and 4-dimensional Euclidean spaces using quaternions, leading to enumerations of the corresponding finite groups of symmetries. The second half of the book discusses the less f

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On Quaternions and Octonions

On Quaternions and Octonions

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This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special pro

On Quaternions and Octonions

On Quaternions and Octonions

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This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special pro

Division Algebras:

Division Algebras:

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I don't know who Gigerenzer is, but he wrote something very clever that I saw quoted in a popular glossy magazine: "Evolution has tuned the way we think to freq

The Geometry of the Octonions

The Geometry of the Octonions

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There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe r